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son4ous [18]
3 years ago
10

Which of the following is a postulate or theorem used to prove two triangles are congruent?

Mathematics
1 answer:
nydimaria [60]3 years ago
5 0
I think it's SSS or SAS
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What is the square root of 9
trapecia [35]
3. 3 x 3 will equate to 9.
4 0
3 years ago
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In a recent study, researchers found that 31 out of 150 boys aged 7-13 were overweight or obese. On the basis of this study can
AURORKA [14]

Answer:

1) Null hypothesis:p \leq 0.15  

Alternative hypothesis:p > 0.15  

2) The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

3) z_{crit}= 1.64

And the rejection zone would be z>1.64

4) Calculate the statistic  

z=\frac{0.207 -0.15}{\sqrt{\frac{0.15(1-0.15)}{150}}}=1.955  

5) Statistical decision  

For this case our calculated value is on the rejection zone, so we have enough evidence to reject the null hypothesis at 5% of significance and we can conclude that the true proportion is higher than 0.15

Step-by-step explanation:

Data given and notation

n=150 represent the random sample taken

X=21 represent the boys overweight

\hat p=\frac{31}{150}=0.207 estimated proportion of boy overweigth

p_o=0.15 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

1) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the true proportion of boys obese is higher than 0.15.:  

Null hypothesis:p \leq 0.15  

Alternative hypothesis:p > 0.15  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

2) The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

3) Decision rule

For this case we need a value on the normal standard distribution who accumulates 0.05 of the area on the right tail and on this case this value is:

z_{crit}= 1.64

And the rejection zone would be z>1.64

4) Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.207 -0.15}{\sqrt{\frac{0.15(1-0.15)}{150}}}=1.955  

5) Statistical decision  

For this case our calculated value is on the rejection zone, so we have enough evidence to reject the null hypothesis at 5% of significance and we can conclude that the true proportion is higher than 0.15

6 0
3 years ago
Please solve and explain steps for this problem.
Helen [10]
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7 0
3 years ago
What is the axis of symmetry of h(x)= 5x^2+40x+ 64?
andrezito [222]

Answer:

Axis of symmetry is  x = -4

Step-by-step explanation:

h(x)= 5x^2+40x+ 64

Use the formula for axis of symmetry:   x = -b/(2a)

Here,  a = 5,  b = 40,  c = 64

so

x = -40/(2*5) = -40/10 = -4

Axis of symmetry is  x = -4

3 0
3 years ago
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On a test, Shoshana got 65% or 23.4 of the items correct? How many items were on the test?
Marizza181 [45]
65 % ------------------ 23.4 items
100 % ----------------- x items
65 : 100 = 23.4  : x
65 x = 100 * 23.4
65 x = 2340
x = 2340 : 65
x = 36
Answer: there were 36 items on the test.
6 0
3 years ago
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